const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_pi = so_called_platform_math_insider :: init_num_fract ( 3.141592f ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_pi2 = so_called_platform_math_insider :: init_num_fract ( 1.570796f ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_2pi = so_called_platform_math_insider :: init_num_fract ( 6.283184f ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_0 = so_called_platform_math_insider :: init_num_fract ( 0 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_1 = so_called_platform_math_insider :: init_num_fract ( 1 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_2 = so_called_platform_math_insider :: init_num_fract ( 2 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_3 = so_called_platform_math_insider :: init_num_fract ( 3 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_4 = so_called_platform_math_insider :: init_num_fract ( 4 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_5 = so_called_platform_math_insider :: init_num_fract ( 5 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_6 = so_called_platform_math_insider :: init_num_fract ( 6 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_7 = so_called_platform_math_insider :: init_num_fract ( 7 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_8 = so_called_platform_math_insider :: init_num_fract ( 8 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_9 = so_called_platform_math_insider :: init_num_fract ( 9 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_minus_1 = so_called_platform_math_insider :: init_num_fract ( - 1 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_minus_2 = so_called_platform_math_insider :: init_num_fract ( - 2 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_minus_3 = so_called_platform_math_insider :: init_num_fract ( - 3 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_minus_4 = so_called_platform_math_insider :: init_num_fract ( - 4 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_minus_5 = so_called_platform_math_insider :: init_num_fract ( - 5 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_minus_6 = so_called_platform_math_insider :: init_num_fract ( - 6 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_minus_7 = so_called_platform_math_insider :: init_num_fract ( - 7 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_minus_8 = so_called_platform_math_insider :: init_num_fract ( - 8 ) ;
const so_called_platform_math_num_fract_type shy_platform_math_consts :: fract_minus_9 = so_called_platform_math_insider :: init_num_fract ( - 9 ) ;

const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_true = so_called_platform_math_insider :: init_num_whole ( so_called_lib_std_true ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_false = so_called_platform_math_insider :: init_num_whole ( so_called_lib_std_false ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_0 = so_called_platform_math_insider :: init_num_whole ( 0 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_1 = so_called_platform_math_insider :: init_num_whole ( 1 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_2 = so_called_platform_math_insider :: init_num_whole ( 2 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_3 = so_called_platform_math_insider :: init_num_whole ( 3 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_4 = so_called_platform_math_insider :: init_num_whole ( 4 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_5 = so_called_platform_math_insider :: init_num_whole ( 5 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_6 = so_called_platform_math_insider :: init_num_whole ( 6 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_7 = so_called_platform_math_insider :: init_num_whole ( 7 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_8 = so_called_platform_math_insider :: init_num_whole ( 8 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_9 = so_called_platform_math_insider :: init_num_whole ( 9 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_minus_1 = so_called_platform_math_insider :: init_num_whole ( - 1 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_minus_2 = so_called_platform_math_insider :: init_num_whole ( - 2 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_minus_3 = so_called_platform_math_insider :: init_num_whole ( - 3 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_minus_4 = so_called_platform_math_insider :: init_num_whole ( - 4 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_minus_5 = so_called_platform_math_insider :: init_num_whole ( - 5 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_minus_6 = so_called_platform_math_insider :: init_num_whole ( - 6 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_minus_7 = so_called_platform_math_insider :: init_num_whole ( - 7 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_minus_8 = so_called_platform_math_insider :: init_num_whole ( - 8 ) ;
const so_called_platform_math_num_whole_type shy_platform_math_consts :: whole_minus_9 = so_called_platform_math_insider :: init_num_whole ( - 9 ) ;

